Learn Geometry Concepts and Geometry Formulas
Geometry is one of the most important topics for competitive exams like SSC CGL / CPO / CHSL / MTS or Railway NTPC / Group D exam and is a part of SSC maths. Geometry in itself is a very vast topic in which you have to cover concepts such as
- Lines and Angles,
- Circles and
An aspirant who is preparing for these examinations should be aware that when it comes to geometry, simply mugging up the formulas will going to be of no use, it is a detailed understanding of the concepts that can help you out with the geometry portion during the examination.
As SSC CGL exam is going be held in the march month, just go through all the concepts of geometry for SSC CGL that form the basis of the geometry questions and should easily be answered upon remembering and some of them have been listed below in this blog:-
Important concept & Geometry Formulas:
- LINE: A set of infinite points in one dimension is called line. It can be extended on both the endpoints.
- PLANE: A set of infinite points in two dimensions called a plane. It can be extended infinitely.
- The infinite number of lines can pass through a point.
There is a unique line that passes through two distinct points.
- LINE SEGMENT: It is a part of a line with two endpoints. It cannot be extended on both the endpoints. AB is a line segment.
- RAY: A-line which have one end point and can be extended up to infinite from other point called ray.
- INTERSECTING LINES: Two lines having a common point are called intersecting lines. The common point is known as the point of intersection.
- CONCURRENT LINES: If two or more lines intersect at the same point, then they are known as concurrent lines.
- COLLINEAR POINTS: If three or more than three points lie on a line, then they are called collinear points. Otherwise non-collinear.
- ANGLES: When two straight lines meet at a point they form an angle.
AC and AB called arms and A is a vertex.
TYPE OF ANGLES:
- Acute angle: An angle whose measure is less than one right angle (i.e., less than 90°), is called an acute angle.
- Right angle: An angle whose measure is 90° is called a right angle.
- Obtuse angle: An angle whose measure is more than one right angle and less than two right angles (i.e., less than 180° and more than 90°) is called an obtuse angle.
- Reflex angle: An angle whose measure is more than 180° and less than 360° is called a reflex angle.
- Complementary angles: If the sum of the two angles is one right angle (i.e., 90°), they are called complementary angles. Therefore, the complement of an angle θ is equal to 90° – θ.
- Supplementary angles: Two angles are said to be supplementary if the sum of their measures is 180°. Example: Angles measuring 130° and 50° are supplementary angles. Two supplementary angles are the supplement of each other. Therefore, the supplement of an angle θ is equal to 180° – θ.
- Vertically opposite angles: When two straight lines intersect each other at a point, the pairs of opposite angles so formed are called vertically opposite angles.
- Adjacent angle: Two angles are called adjacent angles if
They have a common vertex.
They have a common arm.
And there non common arms are different sides of the common arm.
- Angles made by a transversal with two lines:- Let L and M are two lines and N is a transversal line, then:
- Corresponding Angles: Angles that lies on the same side and in the same position on transversal line are called corresponding angles.
If transversal intersects two parallel lines then each pair of corresponding angles is equal (the converse is also true)
- Alternate Angles: Angles lying on the opposite side of the transversal are called alternate angles.
If transversal line intersects two parallel lines then each pair of alternate angle is equal (converse is also true)
- Interior Angle:- Angles which lies in between the lines and on the same side of the transversal line are called interior angles.
If a transversal line intersects two parallel lines then each pair of interior angle are supplementary. (converse is also true)
- If two transversal lines intersect three parallel lines. Than
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